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Finding the Fourth Proportional to 510.05, 703.21 and 416.63

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Solution

The fourth proportional to 510.05, 703.21 and 416.63 is: 574.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.05 : 703.21 = 416.63 : x
  2. Step 2: Convert to fraction form
    510.05/703.21 = 416.63/x
  3. Step 3: Cross multiply
    510.05x = 703.21 × 416.63
  4. Step 4: Simplify right side
    510.05x = 292,978.38
  5. Step 5: Solve for x
    x = 292,978.38/510.05
  6. Step 6: Final answer
    x = 574.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.